I2S to PDM Conversion
It doesn’t seem like there’s a way to use a PDM mic with that TI audio codec. Analog would work though.

Likewise, the BlueNRG expects PDM, but the TI codec only makes PCM (I2S). So the TI part seems to be a poor fit either way.

The Cypress (formerly Broadcom) BLE solutions seem to support I2S.