You could move your board close to the WiFi source and see what you get, if it's just weak or there is zero TX signal.
I tried that. I loaded a sample that sends esp-now packets (1Mbit/s, fixed channel, 20Mhz bandwidth) and tried to capture them with my notebook wifi put into monitoring mode. If I use the sketch on a different dev board I get the packets, if I use it on mine I get nothing. So I'd say there is zero (or close to zero) data emitted (or if it does then the frequency is way off).
Or solder a wire stub like the mod below and see what happens.
I'll try, but I suspect it won't help much, because if it was just weak it should get received at least from the notebook next to it.
Keep in mind your TX problem may not be due to the antenna or feed. I don't see the schematic or rest of the PCB pics for what you have made.
I have attached the current version of the PCB Layout and Schematic below, the old version had a bunch of oversights which might or might not be responsible for the issues, but since I fixed those in the schematic and layout I assume it makes more sense to post what I intend to send to jlcpcb next instead of the broken one.
Note the ESP32 requires a CLC filter on the output, not just a PCB trace but a stub too.
This is good to know, the more I browse the web, the more I suspect that the schematic I "got inspiration from" was never used in the real world, because the setup they used for the antenna trace and a bunch of other things clearly seems wrong.
If anyone wants to read the full schematic below I'd really appreciate it (I'll also take notes that are not related to the RF setup) but I don't wanna waste anyone's time with my stupid beginner mistakes.