You will need to do your taxes as of where you lived on December 31st, 2022. Yes, you will claim your T4's and RL1 on your return.  As per RQ- Individuals report their incomes and pay income tax for the year in the province in which they are resident for tax purposes on December 31.

If you leave Québec for another province or a territory of Canada at some point in a particular year and you are physically in the other province or the territory on December 31 of that year, you may be considered to have become a resident of the other province or the territory for tax purposes, depending on the circumstances.

Therefore you will need to do a tax return saying that you lived in Alberta as of December 31, 2022. No need to do a RQ return. 

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