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Fair Value of Financial Instruments
9 Months Ended
Sep. 30, 2023
Fair Value Disclosures [Abstract]  
Fair Value of Financial Instruments Fair Value of Financial Instruments
Cash and cash equivalents, accounts receivable, prepaid expenses and other current assets, accounts payable, short-term debt, including the current portion of long-term debt, accrued liabilities, and other current liabilities are reflected on the consolidated balance sheets at amounts that approximate fair value because of the short-term nature of these financial assets and liabilities.

Private warrants, Private Placement (“PIPE”) warrants, and warrants issued under the registered direct offering (“RDO warrants”) are valued using a modified Black-Scholes option pricing model (“OPM”), which is considered to be a Level 3 fair value measurement. See Note O—Warrants for information on the Level 3 inputs used to value the private warrants and PIPE warrants.

The table below presents the financial liabilities measured at fair value on a recurring basis:
September 30, 2023
Balance Sheet Caption
Level 1
Level 2Level 3Total
PIPE warrantsDerivative liabilities$— $— $17,083 $17,083 
RDO warrantsDerivative liabilities— — 11,286 11,286 
Private warrantsDerivative liabilities— — 98 98 
December 31, 2022
Balance Sheet CaptionLevel 1Level 2Level 3Total
Private warrantsOther non-current liabilities$— $— $$

The changes in the fair value of the Level 3 liabilities are as follows:
PIPE warrantsRDO warrantsPrivate warrants
December 31, 2022$— $— $
Additions14,893 15,536 — 
Changes in fair value2,190 (4,250)89 
Settlements— — — 
September 30, 2023$17,083 $11,286 $98