p-correction for effects in LMM

Dear colleagues,

 ??? I use linear mixed models with 1 random effect (subject), 2 fixed
 ??? factors (one? is between factor and another is repeated) and one 
covariate, and
 ??? explore all main effects, 2-way interactions and one 3-way 
interaction.
 ??? Regarding of used software, somewhere I get effect of intercept,
 ??? somewhere not. Reviewer asks to use p-adjustment for these
 ??? effects. My dilemma is should I apply p-correction for 7 tests or 8 
(including
 ??? random intercept for subjects)?

 ??? The output do not contain F for random effect, but only variance.
 ??? Also, the output do not contain effect size. CIs are available only 
for
 ??? betas as product of specific level of both fixed effects and 
covariate, but
 ??? since I have 3 levels for between and 4 for repeated effects, the
 ??? output is not helpful + there is no possibility to change reference 
group.
 ??? Thus, I'm stuck with p-adjustment.

 ?? Any help is welcomed.
 ??? Thank you.

Kind regards,
Bojana Dinic