Making comparison using "that of" twice

Yes, it's acceptable and correct. Examples from Google Books search:

In the vast bibliography of the Spanish Civil War, religion has been, and still is, treated as though its role in the tragedy had been more like that of a chorus than that of any of the leading characters.
Gunpowder and Incense: The Catholic Church and the Spanish Civil War, 2007

When caries susceptibility of the two parents is dissimilar, however, the children's susceptibility tends to be more like that of the mother than that of the father.
McDonald and Avery Dentistry for the Child and Adolescent, 2010

... the annual rainfall found in the Negev Mountains and recent terra rossa soil in Zefat and Gilboa areas led La'or (1992H) to estimate that the annual rainfall in the Negev Mountains was more like that of Zefat (700-800 mm) than that of Mt. Gilboa (450-500 mm).
The Climate of Israel: Observation, Research and Application, 2012

The organ of voice, a most valuable criterion of species throughout this numerous family, was in its form much more like that of Anas Boschas than that of Anas moschata...
Proceedings of the Committee of Science and Zoology of London, 1832

... the provisioning economy of the après-libération looked more like that of 1738 than that of 1938 in terms of its vulnerability to the weather and the seasons...
The Expectation of Justice: France, 1944-1946, 1999

... when the commonly accepted wisdom is that the health of such groups tends to become more like that of the host community than that of the people they left behind.
Researching Cultural Differences in Health, 2002

Your own search will turn up many more instances.

"That" here can be described as being used as a demonstrative pronoun. I guess the take-home message from this is that "that" is functioning as a pronoun where "the combat" could be repeated, but isn't, which is the function of a pronoun (it saves you from explicitly repeating the same referent/antecedent.

The combat of Star Wars Jedi: Fallen Order is more like [that] the combat of Sekiro than [that] the combat of Dark Souls."