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Recurring Fair Value Measurements (Q3) (Tables)
 9 Months Ended 12 Months Ended
Sep. 30, 2023
Dec. 31, 2022
Recurring Fair Value Measurements [Abstract]    
Assets and Liabilities Measured at Fair Value on Recurring Basis
The following table presents information about the Company’s assets and liabilities that were measured at fair value on a recurring basis as of September 30, 2023 and December 31, 2022, and indicates the fair value hierarchy of the valuation techniques the Company utilized to determine such fair value.

 
 ​ ​
September 30, 2023
 
 ​ ​
Level 1
 ​ ​
Level 2
 ​ ​
Level 3
Assets
​ ​
 
 ​ ​
 
 ​ ​
 
Investments held in Trust Account
 ​ ​
$61,539,627
 ​ ​
$—
 ​ ​
$—
Liabilities
​ ​
 
 ​ ​
 
 ​ ​
 
Public Warrants
 ​ ​
$920,000
 ​ ​
$—
 ​ ​
$—
Private Warrants
 ​ ​
$—
 ​ ​
$—
 ​ ​
$896,000
Working Capital Loan conversion option
 ​ ​
$—
 ​ ​
$—
 ​ ​
$—

 
 ​ ​
December 31, 2022
 
 ​ ​
Level 1
 ​ ​
Level 2
 ​ ​
Level 3
Assets
​ ​
 
 ​ ​
 
 ​ ​
 
Investments held in Trust Account
 ​ ​
$237,038,010
 ​ ​
$—
 ​ ​
$—
Liabilities
​ ​
 
 ​ ​
 
 ​ ​
 
Public Warrants
 ​ ​
$575,000
 ​ ​
$—
 ​ ​
$—
Private Warrants
 ​ ​
$—
 ​ ​
$—
 ​ ​
$560,000
The following table presents information about the Company’s assets and liabilities that were measured at fair value on a recurring basis as of December 31, 2022 and 2021, and indicates the fair value hierarchy of the valuation techniques the Company utilized to determine such fair value.

 
 ​ ​
December 31, 2022
 
 ​ ​
Level 1
 ​ ​
Level 2
 ​ ​
Level 3
Assets
​ ​
 
 ​ ​
 
 ​ ​
 
Investments held in Trust Account
 ​ ​
$237,038,010
 ​ ​
$—
 ​ ​
$—
Liabilities
​ ​
 
 ​ ​
 
 ​ ​
 
Public Warrants
 ​ ​
$575,000
 ​ ​
$—
 ​ ​
$—
Private Warrants
 ​ ​
$—
 ​ ​
$—
 ​ ​
$560,000

 
 ​ ​
December 31, 2021
 
 ​ ​
Level 1
 ​ ​
Level 2
 ​ ​
Level 3
Assets
​ ​
 
 ​ ​
 
 ​ ​
 
Investments held in Trust Account
 ​ ​
$234,603,156
 ​ ​
$—
 ​ ​
$—
Liabilities
​ ​
 
 ​ ​
 
 ​ ​
 
Public Warrants
 ​ ​
$5,980,000
 ​ ​
$—
 ​ ​
$—
Private Warrants
 ​ ​
$—
 ​ ​
$—
 ​ ​
$5,824,000
Key Inputs into Binomial Lattice Model
The key inputs into the binomial lattice model were as follows at September 30, 2023 and December 31, 2022:

 
 ​ ​
September 30,
2023
 ​ ​
December 31,
2022
Input
​ ​
 
 ​ ​
 
Risk-free interest rate
 ​ ​
4.55%
 ​ ​
3.95%
Expected term to initial Business Combination (years)
 ​ ​
0.25
 ​ ​
0.25
Expected volatility
 ​ ​
de minimis
 ​ ​
de minimis
Common stock price
 ​ ​
$10.79
 ​ ​
$10.18
Dividend yield
 ​ ​
0.0%
 ​ ​
0.0%
The key inputs into the binomial lattice model were as follows at December 31, 2022 and 2021:

 
 ​ ​
December 31,
2022
​ ​
December 31,
2021
Input
​ ​
 
 ​ ​
 
Risk-free interest rate
 ​ ​
3.95%
 ​ ​
1.33%
Expected term to initial Business Combination (years)
 ​ ​
0.25
 ​ ​
0.84
Expected volatility
 ​ ​
de minimis%
 ​ ​
8.6%
Common stock price
 ​ ​
$10.18
 ​ ​
$9.87
Dividend yield
 ​ ​
0.0%
​ ​
0.0%
Changes in Fair Value of Warrants
The following table provides a reconciliation of changes in fair value of the beginning and ending balances for the Company’s warrants classified as Level 3 for the period ended September 30, 2023 and December 31, 2022:

Fair Value at December 31, 2022 – private warrants
 ​ ​
$560,000
Change in fair value
 ​ ​
—
Fair Value at March 31, 2023 – private warrants
 ​ ​
$560,000
Change in fair value
 ​ ​
224,000
Fair Value at June 30, 2023 – private warrants
 ​ ​
$784,000
Change in fair value
 ​ ​
112,000
Fair Value at September 30, 2023 – private warrants
 ​ ​
$896,000
The following table provides a reconciliation of changes in fair value of the beginning and ending balances for the Company’s warrants classified as Level 3 for the year ended December 31, 2022 and 2021:

Fair Value at December 31, 2021 – private warrants
 ​ ​
$5,824,000
Change in fair value
 ​ ​
(5,264,000)
Fair Value at December 31, 2022 – private warrants
 ​ ​
$560,000

Fair value at February 23, 2021 – public and private warrants
 ​ ​
$—
Initial fair value of the warrants
 ​ ​
16,571,000
Public Warrants reclassified to level 1(1)
 ​ ​
(5,980,000)
Change in fair value
 ​ ​
(4,767,000)
Fair Value at December 31, 2021 – private warrants
 ​ ​
$5,824,000