all two videos are done with new game save file and infinite climax difficulty
3M halos farming (you need all the kinds of lollipops, red hot shot and as much moon pearls you can get after you finishing chapter 1; gaze of despair required; hornet within required)

230k halos when first playing prologue

the 3M halos farming video are not that hard I believe, since you have one red hot shot and 4 yellow pops at your proposal.

first prologue fight would be challenging, you need some practice to not get hit

if you have any questions ,feel free to ask

i was somehow conservative before. After using all the resources and optimising the strats, you can farm more than 3m halos. Early on I thought we could only farm up to 1.7m halos.

this means if everything goes well, you can farm 6m halos within 8-9 mins.
with these halo, you can buy out:
brace of time (1m) climax bracelet 1(2.5m) climax bracelet 2(2.5m)
provided that using platinum code in speedrun is allowed or using platinum code has its own sub-category

however, if you play normally and get a really decent run, i think you may beat this strats, since 8-9 mins is a huge time loss in its own right.