A lot of good answers, so I will try to summarize.
Classical (Newtonian) Physics: gravity is a force because it accelerate mass.
General Relativity: gravity is not a force. This theory very successful at explaining orbits, light bending around suns and galaxies time dilation observed on satellites around Earth.
Standard Model of Particle Physics: these guys are obsessed with particles and they want a particle for anything. Because of this, they are stubborn at insisting that gravity must be a force and we just need to find a particle (graviton) that carries that force. They also insist that it must be this way also because General Relativity doesn’t reconcile with Quantum Physics.
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