Investments - Schedule of securities with unrealized losses (Details)	9 Months Ended	12 Months Ended
	Sep. 30, 2024 USD ($) position	Dec. 31, 2023 USD ($) position
U.S. Treasury securities and obligations of U.S. government corporations and agencies
Net Investment Income [Line Items]
Estimated fair value - less than 12 months	$ 0	$ 5,974,440
Unrealized losses - less than 12 months	$ 0	$ (17,373)
Number of positions held - less than 12 months | position	0	1
Estimated fair value - 12 months or more	$ 5,997,060	$ 0
Unrealized losses - 12 months or more	$ (2,128)	$ 0
Number of positions held - 12 months or more | position	1	0
Estimated fair value - total	$ 5,997,060	$ 5,974,440
Unrealized losses - total	(2,128)	(17,373)
Political subdivisions of States, Territories and Possessions
Net Investment Income [Line Items]
Estimated fair value - less than 12 months	0	0
Unrealized losses - less than 12 months	$ 0	$ 0
Number of positions held - less than 12 months | position	0	0
Estimated fair value - 12 months or more	$ 13,889,291	$ 13,398,552
Unrealized losses - 12 months or more	$ (2,610,572)	$ (3,209,161)
Number of positions held - 12 months or more | position	12	13
Estimated fair value - total	$ 13,889,291	$ 13,398,552
Unrealized losses - total	(2,610,572)	(3,209,161)
Corporate and other bonds industrial and miscellaneous
Net Investment Income [Line Items]
Estimated fair value - less than 12 months	17,557,547	0
Unrealized losses - less than 12 months	$ (49,276)	$ 0
Number of positions held - less than 12 months | position	18	0
Estimated fair value - 12 months or more	$ 63,278,931	$ 70,107,746
Unrealized losses - 12 months or more	$ (3,854,059)	$ (5,885,296)
Number of positions held - 12 months or more | position	74	85
Estimated fair value - total	$ 80,836,478	$ 70,107,746
Unrealized losses - total	(3,903,335)	(5,885,296)
Residential mortgage and other asset backed securities
Net Investment Income [Line Items]
Estimated fair value - less than 12 months	8,405	88,988
Unrealized losses - less than 12 months	$ (136)	$ (2,144)
Number of positions held - less than 12 months | position	1	4
Estimated fair value - 12 months or more	$ 37,008,025	$ 38,675,604
Unrealized losses - 12 months or more	$ (5,097,373)	$ (6,541,731)
Number of positions held - 12 months or more | position	36	37
Estimated fair value - total	$ 37,016,430	$ 38,764,592
Unrealized losses - total	(5,097,509)	(6,543,875)
Total fixed-maturity securities
Net Investment Income [Line Items]
Estimated fair value - less than 12 months	17,565,952	6,063,428
Unrealized losses - less than 12 months	$ (49,412)	$ (19,517)
Number of positions held - less than 12 months | position	19	5
Estimated fair value - 12 months or more	$ 120,173,307	$ 122,181,902
Unrealized losses - 12 months or more	$ (11,564,132)	$ (15,636,188)
Number of positions held - 12 months or more | position	123	135
Estimated fair value - total	$ 137,739,259	$ 128,245,330
Unrealized losses - total	$ (11,613,544)	$ (15,655,705)