Took the train from the station and made a small train after you board on.. the train, I guess..
This is were I, you.. hopped on and I left a new hint at the..hint carriages..

α. train= Community Train
β. train= wee train inside the Community Train
γ. train= adventure train

Solution - Λύσις

The puzzle is indicated to start from here but the first hint is already in the carriage before that and says:
"..You take a look at the carriages. Everythings seems to be in order... Time passes..."
There are three clues here: the carriages, the order, the time.
If you take a look at the (puzzle) carriages in order:
The Inner World
Ignite
MIND: Path to Thalamus Enhanced Edition
Explodemon
Stygian: Reign of the Old Ones

You could notice that apart from the puzzle carriages, all the end TIMES are the same at 11:59 (or what timezone you have). The end times of the puzzle carriages are therefore what is important.
(The other time is not easily set, as it's not the time that you define the giveaway to start but it's the time you clicked to post the giveaway so it would, most likely, not be of any significance)
The times in order are: 1:07 1:08 3:15 2:22 2:25, depending on your timezone, but the order is the same. There is no other indication of a cipher and the next hint, in the following wagons, reads:
Aviary Attorney
Stick Fight: The Game
Chroma Squad
I am not a Monster: First Contact
Intensive Exposure

It has to do with ASCII but it's even simpler than that. More precisely it has to do with the alphabet but that would give it away completely. You only need a simple 1-26 -> A-Z relation.
The minutes indicate the position in the alphabet and the hours indicate the relative position in the ASCII. In ASCII there are numbers first, then capitals and the small letters follow.
so: 1:07 = number 7, 1:08 = number 8, 3:15 = small o (15th letter of alphabet/ASCII starting from "a"), 2:22 = capital V, 2:25 = capital Y which gives the "code" 78oVY (i.e. https://www.steamgifts.com/giveaway/78oVY/) which would take you to a "Bad Rats: the Rats' Revenge" giveaway.
The main post also has clues about letters/numbers. The options for the poll are 1, 2, A, B, c, d hinting that we're looking at a (simple) relation about numbers and letters.
The rest of the hints point towards looking at the train, specifically the carriages to see the first letters while looking "at the bigger picture" and the last hint again points towards the alphabet. Frankly I thought that would totally give it away.

In the "Bad Rats: the Rats' Revenge" giveaway the description reads:
"Oh, those parasites!
-> XXXXX (= AAAAA)"
first sentence points to the rats, more precisely to the full name of them (the game): "Bad Rats the Rats' Revenge" and the next clue points towards making something XXXXX, i.e. capitals (or AAAAA)
Following the trend, take the first letters of the game: BRtRR -> XXXXX = BRTRR which directs you to a giveaway (not mine) that has the final destination: 1vyl1