Sabine’s cake analogy isn’t terribly convincing, there are a few good reasons why everyone should bring a cake including gravity.
Firstly the three other forces, electromagnetic, weak and strong forces are mediated by gauge bosons which are predicted by theory and confirmed by experiment.
Secondly the theory predicts these forces are unified at high energies (temperatures).
By 1983 physicists had sufficiently powerful particle accelerators to unify the electromagnetic and weak forces into the electroweak force.
The next step is to unify the electroweak and strong forces into a GUT (Grand Unified Theory) but we are nowhere near the technologies to reach the energies to accomplish this.
Where does quantum gravity fit into this?
If gravitons exist it means quantum gravity was also unified in the very early universe otherwise there are serious problems with BB cosmology.
A quantum gravity theory eliminates the singularity at cosmological time t = 0 which is a product of general relativity which breaks down at small scales.
It is impossible to explain the evolution of the universe if it started off as a singularity as by definition a singularity is indicative the mathematics is seriously wrong!
There are theoretical problems in formulating a quantum gravity theory within the optics of quantum field theories.
Without getting into the mathematical complications, quantum field theories involve point sources making it impossible to
renormalize the theory to include gravity.
This is where the much maligned string theory comes into the picture which does not depend on point sources but strings making gravity a renormalizable theory.