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Hi Is it possible to run a repeated measures one way ANCOVA?

My data is from a cross-over design study, each subject followed 3 different diets. I can see from a repeated measures ANOVA that there is an effect of the diets on sweat rate (continuous variable). But i think this is influenced by resting core temperature. So i have this measured also across the 3 different conditions in each individual. Can i run a one-way repeated measures ANCOVA to account for the differences in resting core temperature? I'm running the analysis in SPSS as the 3 diets as the within-subject variable, and sweat rate as the measure, with the 3 core temperatures in as Covariates.

If the test of within-subject effects is p<0.05 for diet (sphericity assumed) (as it was with the one way repeated measures ANOVA). The 3 different diet*resting temperature within subject effects are all p>0.05. Therefore the resting temperature is not impacting sweat rate...?

Or i actually think this should really be a 2 way repeated measures anova? sorry for the basic questions, I'm new to this.

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