Dear kind doctor, please kindly clear my confuse, how long treponemal test ( tpha test) turn to become positive after intial potential exposure ? thank you?

https://www.sfcityclinic.org/faq/how-long-after-being-exposed-syphilis-can-you-be-accurately-tested-also-how-long-after-being#:~:text=The%20syphilis%20blood%20test%20can%20turn%20positive%20two,positive%20until%2012%20weeks%20after%20you%20are%20infected. Positive after 2-12 weeks. Conditions as yaws , bejel ,pinta react also. , Stays positive for life .Need 2nd confirmatory test. F/U/ w/MD