Ender 3 V3 SE says it's printing but it's not

If you can, try to connect a PC/Laptop/Raspberry pi to the machine through the USB-C cable with Octoprint. Then upload a file or just send to print from the SD Card.

Then take a look at the Terminal Tab and if we are lucky enough you will see the error code if exist.

Once my printer didn’t want to print too(I have the same model) and the terminal said the error about leveling the bed (you know this printer before almost any operation do the auto home) and that’s why the Mesh of the calibration was empty or at least the Printer thought that.

To solved it I upgraded the firmware to 1.0.6, started from scratch the bed leveling after completion go to Control–> Store configuration and try again.