Expected output:

001: 1.0

Expected output for 1024 shots:

001: 1024

The counting register reads 001 in displayed order q[0] q[1] q[2],
which is integer 1.
With three counting qubits, the phase estimate is:

  phi = 1 / 2^3 = 1/8

This matches the T gate eigenphase:

  T|1> = exp(2*pi*i/8)|1>

The result is deterministic in the ideal circuit because phi = 1/8 is
exactly representable with three bits of precision.

For phases that are not exact multiples of 1/2^n, the output
distribution spreads across nearby bit strings and peaks near the best
n-bit approximation.