So if what Kaji said it's true, that the number on the cards are the sum of poker hands & the fact that the sum will always be the stronger hands (unless a card have already been used in the previous round). Then 8=2 2 2 A A & 39=9 9 9 9 3.
With the knowledge of the poker hands of previous cards, this means that there are no 9, 8 & 2 cards left, only one Ace left, two 3&4 cards, and three 5 cards.
Then Lalo & Baku's cards possibilities (with K=13,Q=12,J=11&A=1) in order of the strongest poker hands is:
(The cards are below consist of just the top 4 poker ranks because the rest of the poker rank, e.g. flush & 3 of a kind, just have too many possibilities)
Lalo
63 (Note that 63 can only be consist of those two sums)
13 13 13 13 11
13 13 13 12 12
47
1 13 12 11 10
11 11 11 11 3
10 10 10 10 7
13 13 13 4 4
11 11 11 7 7
7 7 7 13 13
44
10 10 10 10 4
12 12 12 4 4
10 10 10 7 7
6 6 6 13 13
Baku
45
11 11 11 11 1
10 10 10 10 5
13 13 13 3 3
11 11 11 6 6
7 7 7 12 12
26
6 6 6 4 4
25
3 4 5 6 7
6 6 6 6 1
Looking at this, it seems like Baku may have the upper hand here. His 26 & 25 are mostly likely to be a full house & a straight flush respectively (since if 26=6 6 6 4 4 then it's not possible that 25=6 6 6 6 1) & those cards doesn't interfere with Lalo's cards too much. By interfereing, I mean if you look at Lalo's card, they mostly consist of the K,Q,J&10. Depending on which cards are presented in the next round, Lalo's card (&Baku's card 45) will change & it add a layer of complexity to it. I think that is where the mind games will come in.
Of course, it's possible that Baku is actually in a disadvantage here. If somehow, due to the way the next few rounds are played, 44 becomes 6 6 6 13 13. Then 26 won't be able to be 6 6 6 4 4 & the highest rank that 26 can be is a flush (which is just any number with the same suit so I don't think it's possible that any card could be lower than flush but I could be wrong). Likewise if 47=13 13 13 4 4, then it's possible that 26&25 may not be 6 6 6 4 4 & 3 4 5 6 7 respectively. In short, Lalo's cards have more possibility in having a higher rank than Baku's card.
There's also an issue that may be related to the calamity. If in the next round, 63&45 is played then they will clash since the cards will be 13 13 13 13 11 & 11 11 11 11 1 respectively. This might be the calamity. I'm just not sure how will they decide which card is the winner.
Edit:
@Veshv Isn't the card being flush still a possibility from what we know. Flush is just any number with the same suits, I don't see how it not possible for the card to be a flush.