May I suggest a different solution for this problem?
This gives you a combined reset and bootloader button. Press the button less than 4 seconds and it is a regular reset. Press it longer than about 4 seconds and you get a reset + bootloader. So you wouldn’t have to re-plug the BP at all to go into bootloader, but just hold the button. Much easier to do with one hand.
I prefer that mode of operation and have implemented in most of my circuits. For my STM32 projects I use the Boot0 pin, in this snippet it is the variant for the RP2040 with pulling low the QSPI_SS for entering the bootloader.