How to run a DW5811e-module on a tablet?

I am note sure if EM7355 can suit your environment.

Here says you need to obtain a unit that comes with FW 6.x (data+voice) baseline:

Please also note this EM73xx module has been end of life for many years and this firmware 6.x baseline cannot be officially downloaded:

https://source.sierrawireless.com/resources/airprime/software/airprime-em73xx_mc73xx-fw-package-build-4837/

One question here is that even you can find one module that supports voice, did you check if your m.2 adaptor has the audio circuit outside which is connected to your headset?