What's a working strategy for "With our powers combined" trophy?

[Kadyn]

Minecraft 1.19 update came with new PS4 trophies, and I'm trying to get https://psnprofiles.com/trophy/13113-minecraft-set-2/10-with-our-powers-combined in a legit way.
This trophy requires to:

Have all 3 froglights in your inventory

A https://minecraft.fandom.com/wiki/Froglight is a luminous natural block that can be obtained if a frog eats a tiny Magma cube. Moreover, there are 3 colors of froglight that drop depending on what type of Frog kills the Magma cube:

• pearlescent (purple) from warm frogs
• verdant (green) from cold frogs
• ochre (yellow) from temperate frogs

Frogs only spawn in Swamps (temperate species) and in the new Mangrove Swamp biome (warm species). So my first problem is that I need a cold Frog: for what I understood the Frog species is determined by the biome in which the Tadpole grew up. I can catch Tadpoles in a bucket, in this way I can easily move them to another biome.

The main problem is that Frogs spawn in Overworld, while Magma cubes only spawn in the Nether, and only in certain biomes.

So, here's my question:
Should I gather 3 species of Frogs and move them in a Nether portal, hoping to find Magma cubes to kill? Or should I leave my Frogs outside of a portal and make Magma cubes to follow me in the Overworld, in order to let the Frogs eat them?

Or am I missing an easier strategy to do this?

[emmalee]

The strategy can largely be borrowed from the strategy used to get shulkers into the overworld. Get one of the two groups into boats and transport them. I would suggest putting the magma cubes into the boats to make them defenseless against the frogs.