That may work too but possibly once you get the job you may be worried about other things. As I said companies wont call you right away after posting resume, at least not the better ones. Also it is the beginning of the year, companies are just starting to wake up.. I know this from experience last year.
Give yourself a raise with a new job. Layoffs can happen to anyone, you shouldn't feel bad. I was laid off, found a new job quickly a because of my 2 months severance made more than if I would have kept working there. You got 3 months.
1. Revisit resume and start identifying companies I want to work for and put them into bands. Ones I am less interested in I apply to first and the ones I am most interested in, I apply to last and only escalate as needed. Also look at email and LinkedIn for past recruiters. Great to keep in touch :)
2. Find a specific job I want to work for at X companies and then find contacts in my network that work at X companies and reach out if possible for a referral.
3. Take the time to spend time with family or friends and really think hard about my career. I suggest doing this after because you can always make more time if you want to rethink your career but you can't make more time if you want to apply and get a job. Might even consider going to travel or do something I've always wanted to do.
4. Start grinding and leetcoding, whatever I need. Also keep in touch with community meet ups and talk to people. You never know, expand your network.