Warrants (Details) - $ / shares	12 Months Ended
Warrants (Details) - $ / shares	Dec. 31, 2024	Feb. 12, 2024	Dec. 31, 2023
Warrants [Line Items]
Warrant expire term	5 years
Newly issued price (in Dollars per share)	$ 10
Redemption trigger price (in Dollars per share)	18
Redemption warrants price (in Dollars per share)	$ 10
Founder Warrants [Member]
Warrants [Line Items]
Warrants outstanding (in Shares)	2,354,166		2,354,166
Warrants exercise price (in Dollars per share)		$ 0.1
Warrants exercisable	30 days
Warrants issued (in Shares)	2,354,166
Private Placement Warrants [Member]
Warrants [Line Items]
Warrants outstanding (in Shares)	288,334		288,334
Warrants exercisable	30 days
Private placement units transferable	30 days
Warrants issued (in Shares)	288,334
Public Warrants [Member]
Warrants [Line Items]
Warrants outstanding (in Shares)	9,416,666		9,416,666
Warrants exercisable	30 days
Warrants issued (in Shares)	9,416,666
Warrant [Member]
Warrants [Line Items]
Warrants exercise price (in Dollars per share)	$ 11.5
Share Trigger Price One [Member] \| Public Warrants [Member]
Warrants [Line Items]
Price per warrant (in Dollars per share)	$ 0.01
Notice of redemption	30 days
Trading days	20 days
Trading day period ending	30 days
Share Trigger Price Two [Member] \| Public Warrants [Member]
Warrants [Line Items]
Warrant redemption condition minimum share price (in Dollars per share)	$ 10
Price per warrant (in Dollars per share)	$ 0.1
Notice of redemption	30 days
Redemption period	30 days
Number of business days	1 year
Minimum [Member] \| Share Trigger Price One [Member] \| Public Warrants [Member]
Warrants [Line Items]
Warrant redemption condition minimum share price (in Dollars per share)	$ 18
Minimum [Member] \| Share Trigger Price One [Member] \| Reference Value [Member]
Warrants [Line Items]
Warrant redemption condition minimum share price (in Dollars per share)	18
Minimum [Member] \| Share Trigger Price Two [Member] \| Public Warrants [Member]
Warrants [Line Items]
Warrant redemption condition minimum share price (in Dollars per share)	$ 10
Maximum [Member] \| Public Warrants [Member]
Warrants [Line Items]
Percentage of outstanding ordinary shares	65.00%
As A Percentage of Market Value [Member]
Warrants [Line Items]
Percentage of exercise price of warrants will be adjusted of market value	115.00%
As A Percentage of Newly Issued Price [Member]
Warrants [Line Items]
Percentage of exercise price of warrants will be adjusted of market value	115.00%
Class A Ordinary Shares [Member]
Warrants [Line Items]
Warrants exercise price (in Dollars per share)	$ 0.361
Number of business days	20 days
Effective business days	60 days
Trading days	20 days
Trading day period ending	30 days
Issued price per share (in Dollars per share)	$ 12
Volume-weighted average trading price	10 days
Class A Ordinary Shares [Member] \| Warrant [Member]
Warrants [Line Items]
Issued price per share (in Dollars per share)	$ 9.2
Class A Ordinary Shares [Member] \| Warrants and Rights Subject to Mandatory Redemption [Member]
Warrants [Line Items]
Warrant redemption condition minimum share price (in Dollars per share)	18
Class A Ordinary Shares [Member] \| Share Trigger Price Two [Member] \| Public Warrants [Member]
Warrants [Line Items]
Price per warrant (in Dollars per share)	$ 0.1
Notice of redemption	30 days
Trading day period ending	10 days
Redemption period	30 days
Trading day period	10 days
Class A Ordinary Shares [Member] \| Maximum [Member]
Warrants [Line Items]
Issued price per share (in Dollars per share)	$ 9.2
Newly Issued Price [Member]
Warrants [Line Items]
Percentage of total equity proceeds	60.00%
Event Triggering Adjustment To Exercise Price Of Warrants [Member] \| As A Percentage of Market Value [Member] \| Warrants and Rights Subject to Mandatory Redemption One [Member]
Warrants [Line Items]
Percentage of market value and newly issued price	100.00%
Event Triggering Adjustment To Exercise Price Of Warrants [Member] \| As A Percentage of Newly Issued Price [Member] \| Warrants and Rights Subject to Mandatory Redemption Two [Member]
Warrants [Line Items]
Percentage of market value and newly issued price	180.00%
IPO [Member] \| Warrant [Member]
Warrants [Line Items]
Warrants issued (in Shares)	9,705,000

Plum Acquisition Corp. III 10-K