In this hypothetical universe where the speed of light is proportional to the local gravitational field strength, the journey of the laser pulse from the spaceship towards the black hole would be quite different from what we observe in our universe. Let's break down the changes in speed, frequency, and trajectory.

Speed:
As the laser pulse travels from the region of weak gravity towards the black hole, the gravitational field strength increases. According to the given proportionality, the speed of the laser pulse would increase as it approaches the black hole. The pulse would start at a relatively slow speed in the weak gravitational field and accelerate as the gravitational pull becomes stronger near the black hole.

Frequency:
In our universe, the frequency of a photon remains constant as it moves through varying gravitational fields. However, in this hypothetical universe, the frequency of the laser pulse might change due to the varying speed of light. As the pulse accelerates towards the black hole, its frequency could decrease (redshift) due to the gravitational time dilation effect. The stronger the gravitational field, the more pronounced the redshift would be.

Trajectory:
In our universe, light follows the curvature of spacetime caused by massive objects, resulting in the phenomenon of gravitational lensing. In the hypothetical universe, the laser pulse's trajectory would still be affected by the curvature of spacetime near the black hole. However, the increasing speed of light as it approaches the black hole might also contribute to the trajectory's curvature. The exact path would depend on the interplay between the spacetime curvature and the varying speed of light.

As the laser pulse gets closer to the black hole's event horizon, the gravitational field strength becomes extreme. This would cause the pulse's speed to approach an extremely high value, while its frequency would experience a significant redshift. The trajectory would become increasingly curved, possibly spiraling around the black hole before finally crossing the event horizon, if it doesn't escape the black hole's gravitational pull.

It's worth noting that in this hypothetical universe, the behavior of light and the nature of black holes themselves might be fundamentally different due to the varying speed of light. The consequences of such a fundamental change in physics would be far-reaching and could lead to a very different universe than the one we observe.