Air carrier safety manager reported a flight crew experienced a near miss during taxi with a fast-taxiing aircraft whose wingtip passed close to the flight deck window.

Narrative

GCOL (Ground Collision) Near-Miss with a B737 MAX. Pushed back from stand XXX at ZZZ; facing South on [Taxiway] 1 to hold-short 2. Taxi clearance received which was to proceed to 'XXR via [Taxiway] 3. This required taxi straight ahead to take the second left onto 3. Taxi commenced and as we crossed 2; PF observed a high-speed B737 MAX approaching from the right on 3. Their speed is estimated as being 20-25 kts; and we presume they assumed we would be holding short of 3. It became clear they would not be stopping and PF rapidly stopped short of 3. Our nose was beyond the point at which we would normally have held short of B; and the B737 MAX's left wingtip passed close to the flight deck window of our aircraft with no deceleration observed. We queried our clearance with ATC who paused and then apologized to us; before clearing us again to XXR. The rest of the taxi phase and departure was uneventful.Weather conditions were excellent with good visibility allowing the approaching GCOL threat to be seen. In this situation GCOL was prevented by last minute crew mitigation. Reduced visibility or any heads-down activity by the flight crew would have led to GCOL; given velocity of the B737 MAX and their presumed expectation they had right of way and we would be stopping. Suggest ZZZ ATC notified of event so that their procedures can be reviewed to help prevent recurrence.