The application of notice period in case of resignation during the probation period

Good day, All

I am under an unlimited contract. I am still under the 3-month probation. In the 2nd month, I was given a role that was not agreed upon with them and not congruent with my position because the role needs a license which I don't have.

I have the skills and qualifications for that role so I was compelled to do it because I am new and wanted to keep my job. That time I have voiced out that I don't agree with that but there was no response from them.

Now, in the 2nd month of the project, they still want me to do the job but I refused and told them either they clarify and remunerate me fairly or I should just resign which I did.

My notice period, as per the contract, is 3 months and I want to adhere to that because I still need to find a job meantime. But they emailed me that I can only work up to the end of the week because the notice period does not apply under probation.

The Labor told me, when I called them, that I should serve my notice and if they want to end the notice, they should pay in lieu of the notice period.

Please advise!