Description of Organization and Business Operations and Liquidity (Details) - USD ($)																	3 Months Ended			6 Months Ended			9 Months Ended		10 Months Ended	12 Months Ended
	Sep. 30, 2025	Sep. 02, 2025	Jul. 29, 2025	Jul. 09, 2025	Jun. 30, 2025	Jun. 26, 2025	Jun. 23, 2025	Jun. 20, 2025	Jun. 28, 2024	Sep. 29, 2023	Apr. 10, 2023	Mar. 24, 2023	Aug. 16, 2022	Jan. 14, 2022	Dec. 30, 2021	Dec. 27, 2021	Sep. 30, 2025	Jun. 30, 2025	Sep. 30, 2024	Jun. 30, 2025	Jun. 30, 2024	Sep. 30, 2023	Sep. 30, 2025	Sep. 30, 2024	Jun. 30, 2024	Dec. 31, 2024	Sep. 29, 2025	Aug. 29, 2023	Aug. 01, 2023	Jun. 29, 2023	May 26, 2023	Apr. 27, 2023	Mar. 28, 2023	Dec. 23, 2022	Sep. 27, 2022
Description of Organization and Business Operations and Liquidity [Line Items]
Incorporated date																							May 27, 2021
Units right shares (in Shares)															1
Shares of public rights (in Shares)															1
Underwriters option period																							45 days
Exercised shares (in Shares)		484,751			518,102	518,102
Deferred underwriting fees payable	$ 2,704,690																$ 2,704,690						$ 2,704,690			$ 2,704,690
Share price (in Dollars per share)	$ 10																$ 10						$ 10
Investment maturity days																							185 days
Net tangible assets	$ 5,000,001																$ 5,000,001						$ 5,000,001
Percentage of public share sold in IPO	20.00%																20.00%						20.00%
Percentage of obligation to redeem public shares	100.00%																100.00%						100.00%
Dissolution expenses																							$ 100,000
Deposit into trust account	$ 900,000				$ 6,380,000	$ 660,000		$ 4,500,000									$ 900,000	$ 6,380,000		$ 6,380,000			$ 900,000				$ 6,400,000							$ 772,769	$ 772,769
Cash redemption price (in Dollars per share)	$ 11.33				$ 11.31												$ 11.33	$ 11.31		$ 11.31			$ 11.33			$ 11.22	$ 11.38
Aggregate redemption amount	$ 4,960,000					$ 12,240,000											$ 4,960,000						$ 4,960,000				$ 4,000
Redeem ordinary shares (in Shares)									1,125,000
Redeemed shares (in Shares)			475,634				704,097	704,097
Aggregate ordinary shares (in Shares)						35,205
Shares reversed (in Shares)					39,000																		46,000
Additional aggregate redemption amount						$ 5,730,000
U.S. federal tax rate																	21.00%		21.00%				21.00%	21.00%
Percentage of excise tax																				1.00%
Interest per annum																					10.00%
Percentage of underpayment penalty																					5.00%
Total liability percentage																					25.00%
Total interest and penalties																				$ 115,638						$ 13,509
Percentage of shares redeemed																										1.00%
Excise tax liability	879,876				$ 879,876												$ 879,876	$ 879,876		879,876			$ 879,876			$ 719,090
Interest and penalties accrued					102,129													102,129		102,129
Operating cash					233													233		233						$ 1,185
Working capital deficit					$ 9,778,472													$ 9,778,472		$ 9,778,472
Trust Account [Member]
Description of Organization and Business Operations and Liquidity [Line Items]
Share price (in Dollars per share)																											$ 10
Deposit into trust account												$ 80,400,000
Common Stock [Member]
Description of Organization and Business Operations and Liquidity [Line Items]
Units share of public shares (in Shares)															1
Exercised shares (in Shares)												4,097,964		224,328
Cash redemption price (in Dollars per share)	$ 11.31											$ 10.4					$ 11.31						$ 11.31
Aggregate redemption amount						5,730,000						$ 42,600,000
Redeemed shares (in Shares)																										1,090,062
Redeemed shares, value																										$ 12,219,791
Common Stock [Member] \| Trust Account [Member]
Description of Organization and Business Operations and Liquidity [Line Items]
Deposit into trust account												$ 37,800,000
March Extensions [Member]
Description of Organization and Business Operations and Liquidity [Line Items]
Exercised shares (in Shares)												4,097,964
Exercised option amount											$ 42,600,000
Share price (in Dollars per share)												$ 10
Extension payment																						$ 125,000
Aggregate redemption amount												$ 42,600,000
September Extensions [Member]
Description of Organization and Business Operations and Liquidity [Line Items]
Exercised shares (in Shares)										1,456,871															1,456,871
Cash redemption price (in Dollars per share)																					$ 10.79				$ 10.79
Aggregate redemption amount										$ 15,700,000											$ 15,700,000				$ 15,700,000
June Extension [Member]
Description of Organization and Business Operations and Liquidity [Line Items]
Exercised shares (in Shares)									1,090,062
Deposit into trust account									$ 12,060,000.00
Cash redemption price (in Dollars per share)									$ 11.21
Aggregate redemption amount									$ 12,220,000
June Extension [Member] \| Trust Account [Member]
Description of Organization and Business Operations and Liquidity [Line Items]
Deposit into trust account									$ 24,280,000
Special Meeting of Stockholders [Member]
Description of Organization and Business Operations and Liquidity [Line Items]
Exercised shares (in Shares)	484,751
Shares reversed (in Shares)	46,147
Common stock exercised (in Shares)																											350
Investors [Member]
Description of Organization and Business Operations and Liquidity [Line Items]
Consummated units (in Shares)									337,500
Aggregate redemption amount						11,560,000
Sponsor [Member]
Description of Organization and Business Operations and Liquidity [Line Items]
Gross proceeds of private placement																							$ 3,475,000
Business Combination [Member]
Description of Organization and Business Operations and Liquidity [Line Items]
Deferred underwriting fees payable	$ 2,704,690																$ 2,704,690						$ 2,704,690
Percentage of aggregate fair market value																							80.00%
Percentage of outstanding voting securities	50.00%																50.00%						50.00%
Deposit into trust account																												$ 125,000	$ 125,000	$ 125,000	$ 125,000	$ 125,000	$ 125,000
Cash redemption price (in Dollars per share)	$ 11.31				$ 11.31												$ 11.31	$ 11.31		$ 11.31			$ 11.31
Aggregate redemption amount	$ 4,960,000				$ 11,240,000												$ 4,960,000	$ 11,240,000		$ 11,240,000			$ 4,960,000				$ 4,000
Redeemed shares (in Shares)	438,604			475,634	993,736
Business Combination Special Meeting [Member]
Description of Organization and Business Operations and Liquidity [Line Items]
Deposit into trust account						660,000
Cash redemption price (in Dollars per share)	$ 11.31																$ 11.31						$ 11.31
Aggregate redemption amount																											$ 6,400,000
U.S. [Member]
Description of Organization and Business Operations and Liquidity [Line Items]
U.S. federal tax rate													1.00%
Extension Special Meeting [Member]
Description of Organization and Business Operations and Liquidity [Line Items]
Exercised shares (in Shares)					1,024,736
Deposit into trust account					$ 6,380,000	$ 6,400,000												$ 6,380,000		$ 6,380,000
Cash redemption price (in Dollars per share)					$ 11.31													$ 11.31		$ 11.31
Aggregate redemption amount	$ 5,480,000				$ 5.86												$ 5,480,000	$ 5.86		$ 5.86			$ 5,480,000
Shares reversed (in Shares)					39,000
Extension Special Meeting [Member] \| Common Stock [Member]
Description of Organization and Business Operations and Liquidity [Line Items]
Aggregate redemption amount	$ 900,000																$ 900,000						$ 900,000
Internal Revenue Service [Member]
Description of Organization and Business Operations and Liquidity [Line Items]
Total interest and penalties																		42,947		102,129
Minimum [Member]
Description of Organization and Business Operations and Liquidity [Line Items]
Aggregate redemption amount					$ 5,380,000													5,380,000		5,380,000
Redeemed shares (in Shares)					475,634
Minimum [Member] \| Business Combination Special Meeting [Member]
Description of Organization and Business Operations and Liquidity [Line Items]
Aggregate redemption amount					$ 5,380,000													5,380,000		5,380,000
Maximum [Member]
Description of Organization and Business Operations and Liquidity [Line Items]
Aggregate redemption amount					$ 5,860,000													5,860,000		5,860,000
Redeemed shares (in Shares)					518,102
Maximum [Member] \| Business Combination Special Meeting [Member]
Description of Organization and Business Operations and Liquidity [Line Items]
Aggregate redemption amount					$ 5,860,000													$ 5,860,000		$ 5,860,000
Initial Public Offering [Member]
Description of Organization and Business Operations and Liquidity [Line Items]
Proceeds from IPO															$ 75,000,000
Sale of stock units (in Shares)																							7,500,000
Sale of unit, pirce per share (in Dollars per share)	$ 10																$ 10						$ 10
Exercised shares (in Shares)														227,686
Exercised option amount																							$ 4,788,446
Underwriting fees																							1,545,537
Other costs	$ 538,219																$ 538,219						538,219
Net proceeds of sale units																							$ 75,000,000
Share price (in Dollars per share)	$ 10																$ 10						$ 10
Initial Public Offering [Member] \| Business Combination [Member]
Description of Organization and Business Operations and Liquidity [Line Items]
Consummated units (in Shares)															7,500,000
Price per share (in Dollars per share)															$ 10
Private Placement Units [Member]
Description of Organization and Business Operations and Liquidity [Line Items]
Gross proceeds of private placement														$ 45,540		$ 3,475,000
Sale of stock units (in Shares)														4,554
Sale of unit, pirce per share (in Dollars per share)														$ 10		$ 10
Private Placement Units [Member] \| Sponsor [Member]
Description of Organization and Business Operations and Liquidity [Line Items]
Consummated units (in Shares)																							347,500
Price per share (in Dollars per share)	$ 10																$ 10						$ 10
Over-allotment Units [Member]
Description of Organization and Business Operations and Liquidity [Line Items]
Consummated units (in Shares)														227,686									1,125,000
Price per share (in Dollars per share)														$ 10
Proceeds from IPO														$ 2,276,860
Gross proceeds of private placement														$ 2,276,860
Underwriters option period																							45 days
Option to purchase units (in Shares)														227,686									1,125,000
Over-allotment Units [Member] \| Trust Account [Member]
Description of Organization and Business Operations and Liquidity [Line Items]
Proceeds from IPO														$ 77,276,860

Welsbach Technology Metals Acquisition Corp. 10-Q