My situation is as follows:
I will submit my MSc. Thesis on December 2022 and present it on January 2023. As a result, I can receive my degree on January 2023 earliest.
I have a job offer to start as of 20.02.2023 from a remote company which has a German legal entity and they will hire me under their Germany entity. However, they require me to present a valid work permit before I start my work.
Question 1): If I wait until I receive my degree to apply for Blue Card, some time in January, would it be too late to receive the confirmation? What is the procedure after Blue Card application? Can I start working right after my application?
Question 2): Is there a criteria such that the job has to be advertised for 10 days and should be proved that position can not be filled by a EU national?
Question 3): Does immigration office accept digitally signed job contract or does it have to be signed by ink?
Thank you for everyone's kind help in advance!