When charging my SR+ off my UMC, with its 15 amp tail (the old kind, limited to 12 amps), it'll drop down to 9 amps if I have another device running on the plug next to it, such as a pedestal fan. If I put the fan onto a different circuit, or just switch it off, and stop/start charging the car, it'll go back to 12 amps and stay there.
It sounds like you're trying to draw too much power from that circuit. Or, for whatever reason, the car is worried about the power it's getting.
Consider your options.
You may want to identify what sockets in your house sit on what fuse/circuit (basically switch one off, and go around the house with an electric lamp or something, and note which sockets have stopped working, then switch things around so a different circuit is powered off & repeat the process). Note the capacity of the fuse (15A? 16A? 20A?) and the draw of whatever you're running on that same circuit. At home my car draws 12 amps through a 20 amp fuse. When I visit Sydney it draws 12 amps through a 16 amp fuse. In Sydney it'll trip the fuse if I run the kettle at the same time, so I use the phone app & stop charging when I want to boil the kettle, and hopefully remember to start it again afterwards.
You may want to get a sparky to install another circuit on its own fuse. At least a 15 amp GPO. Ideally 32 amps with one of those round plugs you can buy the matching tail for your UMC fairly easily. If the sparky doesn't know you own an EV, the quoted price will be substantially lower. If asked, it's for, umm, shore power for a Caravan! No, wait, it's for welding! But ideally just specify the exact socket you want and what kind of obstacles exist between the fusebox and the plug site, and get it done.