What do you do when you get stuck on your task? Do you have any unusual ways to approach the solution?

Stop. Get some help.

Bashing your head against the wall is useless, so unless you get new perspective or input, you will be stuck.

Taking a break or having some diversion helps

But if not, talk to someone in your team. They may have a different thought process than you do

Internet

My routine in a nutshell:
Try more. Try the same thing 20 times. Bash your head on desk. Try the same again. Yell at computers. Google just to find that what you did a gazillion times worked for everybody else. Write a call for help message on slack just to find that you're before anyone else's timezone. Stop. Workout a little. Take a walk. Listen to Rammstein. Then realize. Go back to your pc and fix that typo that vscode autocorrected to a valid, but totally different method. Cry.

Switch to something else even if it's just for a minute or two. Gives you fresh eyes when you go back

Or you know, just get hammered

If its taking longer then try to get help, ask people, or just skip that task for time being. After 1-2 hrs of break you can start fresh.