Looks like defective charger OR defective charging circuit. The first is easy to solve, the second needs return / repair.
So we should really be sure that the power adapter is not the problem. Do you by any chance have another USB-C PD charger?
Also, please follow clearly the diagnosis here and post step by step results:
Troubleshooting: Projector won’t power on / no picture display / shuts down soon after starting
With this I can confirm a hardware fault, and approve a return/replacement. Thanks.