The ublox NINA-W10 does not support BLE and WiFi at the same time. ublox has modules that support this e.g., the ublox NINA-W15
https://www.u-blox.com/en/product/nina-w15-series
A dual processor design would not help a lot with this use case. What you would need is a software stack that handles both at the same time because you have one radio and both protocols work in the same ISM band. To ensure BLE is working while WiFi is active, the stack needs to make sure the BLE is time sliced in between the WiFi packets. Even if you had two radios you would need to do that because the WiFi signal would otherwise disturb the BLE transfers. Only the BLE advertisement channels are positioned in between the WiFi channels. This allows BLE devices to find each other and then jump around the other channels (channel hopping) to avoid active WiFi transmissions.
If your application would be happy with switching between the protocols, you can still use your Arduino. The switch will take some time, so you cannot switch back and forth within a second.
I had a similar discussion last year with the Arduino Nano 33 IoT (a smaller variant of your board). I posted an example in reply#7.
https://forum.arduino.cc/t/switching-between-wifi-and-ble/629966/7
If there are any issues with this example, please let me know. Sometimes the Arduino libraries change something that requires some minor modifications.