I listed all basic solutions for the problem about the game not starting when you try on Steam.

Verify all game files and make sure Battlefield V is updated to the lastest version. Go to search bar of your computer and type "EA" or "EA App Updater", once you find it give permission and run it. A cmd will appear on your screen and scan for new updates before updating when it finds. Give another try by starting to see if it fixed your problem.

If it didn't work, then move to Step 2.

Go to search bar again and launch the EA App manually. Make sure you logged in.

Then, start the game on Steam. This is how i fixed it because i think the game doesn't start without services, starting EA App manually everytime before the game.

If this didn't work, you can move to Step 3.

Reinstall Battlefield V and EA App by deleting them and downloading again from Steam.

I didn't try this, so i can't promise if that will fix it but you can move to Step 4 if you don't want to reinstall.

Clear Game Cache. Use the three lines in the top left corner of the app. Go to Help > App Recovery > Clear Cache. Close the EA App manually. Now open Task Manager > Scroll down to until you will find many Background Processes. Find 'EA Background Processes' and end that task.

Then restart the EA App. This is the last solution i got but i assume Step 2 should fix it already since it worked for me.

Thanks for reading! If you will need help, feel free to comment and i will reply as soon as possible.