I guess you bought a Single Entry Non Immigrant B visa and got 90 days on entry as Admitted until 14 April 2023?
If that is the case you can leave but if you want this period to stay alive you need a re-entry permit and on return you will get the same date Admitted until 14 April 2023 stamped in your passport.
BUT if your Non Immigrant B visa is a 1 year valid mulitple entry visa, you can leave and get a new 90 day period when you enter again before the valid until date written on the visa.
AS you did not mention which type of Non Immigrant B you have make sure you understand OR show a picture of the visa without personal details to get again the correct advice in how to travel.
Be aware that you only get 1 year of stay IF you arrive before the valid until date 30 May 2023 and if you travel after that date you need a Re-Entry Permit to keep your stay alive and get the same Admitted Until date on re-entry.
I guess she is the owner or rentor of the place where you stay and she has to make the address registration. Just bring the form to register is not enough.
If you tell us what the country of origin of your passport is and what kind of visa you want to apply for during your visa run, we might share some thoughts about it.
And even the Thai Elite Visa, which is based on tourism does not allow you to work inside Thailand.
You need a Visa that allows you to work and a Work Permit to work inside Thailand.
Bite the bullit and become legit or keep on playing games with Immigration and keep asking if you are allowed back into the country to take care your left behind belongings.