random soft wdt reset while request
Show examples of the error - and install ESPexeption decoder to analyse the stack trace this will at least show why the wdt was caused
So the only thing as of now I can recommend
There is an issue with bearssl:

It's a WDT error caused by an extended SSL negotiation.


Change the core frequency to 160MHz (if not already done) and try again.
Use instead of LWIP1.4 (memory hog) low-mem LWIP2.0 with your program. 
Since SSL negotiation can take 5 seconds even at 160MHz for some websites be sure by adding a yield() not to trigger a wdt reset


So without code/ trace and error messages its hard to guess