Charging and Boot Issue

I have a MacBook Pro 13-inch Early 2011. I installed a battery in it, but when I connect the charger, the MagSafe LED turns green, and the MacBook emits a repeating sound approximately every half second. At the same time, a white LED turns on and off repeatedly, and the MacBook does not start.

However, if I disconnect the charger, then press and hold the power button, and while holding it reconnect the charger, then release the power button after a few seconds, the MacBook powers on normally. The problem is that the fan runs at a very high speed, and the green MagSafe LED turns off, although the charger continues to power the MacBook.

I would appreciate it if someone could explain the cause of this issue.

Thank you very much.

Here is the screenshot as requested.

Please note that the MacBook does have a battery installed 😢