Local Network 3-Channel WiFi Relay & 3-Button Wall Switch Compatible Alternatives?

Hi, I am looking for a 3 channel switch and remote control for it that will work over the local network and not just through the cloud. I've already bought an OXT Wi-Fi 3C and thought it would be a nice solution, but I can't find a 3 button WiFi switch anywhere, everything is over ZigBee and additionally there was a problem with the relay when there is no internet connection (it is added to Tuya). I have also looked for a relay with WiFi and RF (and a 3 button kinetic switch to go with it), but can't find anything like that. If there is any information needed as to the application this is to operate a lamp, my sister bought some kind of lamp with 3 separate sections switched on via the RF remote (and some weird sequence of switching on and off with a normal switch). Unfortunately, when the power flashes, the lamp goes crazy and turning it on with the switch in the desired mode is impossible (and the remote control also works sometimes and sometimes not, and it is not the battery that is to blame here, as it has already been replaced several times). The lamp has the mode of ordinary E27 bulbs, led strip and some leds imitating some real bulbs, there is some kind of radio controller and 2 power supplies in the lamp and I wanted to remove the controller and power supplies and ordinary bulbs to be powered from the 3 channel relay, generally RF would be enough then (if a 3 channel one can be found), but Sister also wanted to be able to set e.g. time switch off after holding the button for a longer time, so it has to be done with some kind of application, this also leaves WiFi.