The `draft_timings` parser sometimes assigns the first pick to the wrong team

[DMzda]

Current Behavior
The first pick is assigned to the same team as the second pick. This along with an incorrect/outdated draft side assignment in odota/web led to the draft sides to only be correct when the first pick was incorrect (see odota/web#2863 )

Example:
GET https://api.opendota.com/api/matches/6227419633

"draft_timings": [
        {
            "order": 1,
            "pick": false,
            "active_team": 3,
            "hero_id": 129,
            "player_slot": null,
            "extra_time": 130,
            "total_time_taken": 5
        },
        {
            "order": 2,
            "pick": false,
            "active_team": 3,
            "hero_id": 114,
            "player_slot": null,
            "extra_time": 130,
            "total_time_taken": 2
        },
        {
            "order": 3,
            "pick": false,
            "active_team": 2,
            "hero_id": 119,
            "player_slot": null,
            "extra_time": 130,
            "total_time_taken": 2
        },
        ...
]

See active_team above.

Expected behavior/code
The first pick's active_team should be 2.

Possible Solution
This is probably due to this line:

core/processors/processDraftTimings.js

Lines 49 to 50 in 461a5cb

	// update the team that had the first pick/ban
	draftTimings[0].active_team = ((sumActiveTeam % 2) + 2);

I don't currently have a good setup to test any potential fixes, but I may be able to in the future if needed.

Additional context/Screenshots
I wrote a small python script to identify broken matches:
https://gist.github.com/DMzda/9fb7cafa48e03e09c7eda00c73d754b8

You need requests and a /json subfolder to run it. The output looks like this:

6227492909
Result: {1: (3, True), 2: (2, True), 3: (3, True), 4: (2, True), 5: (3, True), 6: (2, True), 7: (2, True), 8: (3, True), 9: (3, True), 10: (2, True), 11: (3, True), 12: (2, True), 13: (3, True), 14: (2, True), 15: (2, True), 16: (3, True), 17: (3, True), 18: (2, True), 19: (3, True), 20: (2, True), 21: (3, True), 22: (2, True), 23: (3, True), 24: (2, True)}
Errors: {}

6227419633
Result: {1: (3, False), 2: (3, True), 3: (2, True), 4: (3, True), 5: (2, True), 6: (3, True), 7: (3, True), 8: (2, True), 9: (2, True), 10: (3, True), 11: (2, True), 12: (3, True), 13: (2, True), 14: (3, True), 15: (3, True), 16: (2, True), 17: (2, True), 18: (3, True), 19: (2, True), 20: (3, True), 21: (2, True), 22: (3, True), 23: (2, True), 24: (3, True)}
Errors: {1: (3, False)}

6227305557
Result: {1: (3, False), 2: (3, True), 3: (2, True), 4: (3, True), 5: (2, True), 6: (3, True), 7: (3, True), 8: (2, True), 9: (2, True), 10: (3, True), 11: (2, True), 12: (3, True), 13: (2, True), 14: (3, True), 15: (3, True), 16: (2, True), 17: (2, True), 18: (3, True), 19: (2, True), 20: (3, True), 21: (2, True), 22: (3, True), 23: (2, True), 24: (3, True)}
Errors: {1: (3, False)}

6227203516
Result: {1: (3, False), 2: (3, True), 3: (2, True), 4: (3, True), 5: (2, True), 6: (3, True), 7: (3, True), 8: (2, True), 9: (2, True), 10: (3, True), 11: (2, True), 12: (3, True), 13: (2, True), 14: (3, True), 15: (3, True), 16: (2, True), 17: (2, True), 18: (3, True), 19: (2, True), 20: (3, True), 21: (2, True), 22: (3, True), 23: (2, True), 24: (3, True)}
Errors: {1: (3, False)}

6227105229
Result: {1: (3, True), 2: (2, True), 3: (3, True), 4: (2, True), 5: (3, True), 6: (2, True), 7: (2, True), 8: (3, True), 9: (3, True), 10: (2, True), 11: (3, True), 12: (2, True), 13: (3, True), 14: (2, True), 15: (2, True), 16: (3, True), 17: (3, True), 18: (2, True), 19: (3, True), 20: (2, True), 21: (3, True), 22: (2, True), 23: (3, True), 24: (2, True)}
Errors: {}

6226873670
Result: {1: (3, True), 2: (2, True), 3: (3, True), 4: (2, True), 5: (3, True), 6: (2, True), 7: (2, True), 8: (3, True), 9: (3, True), 10: (2, True), 11: (3, True), 12: (2, True), 13: (3, True), 14: (2, True), 15: (2, True), 16: (3, True), 17: (3, True), 18: (2, True), 19: (3, True), 20: (2, True), 21: (3, True), 22: (2, True), 23: (3, True), 24: (2, True)}
Errors: {}

6226789510
Result: {1: (3, True), 2: (2, True), 3: (3, True), 4: (2, True), 5: (3, True), 6: (2, True), 7: (2, True), 8: (3, True), 9: (3, True), 10: (2, True), 11: (3, True), 12: (2, True), 13: (3, True), 14: (2, True), 15: (2, True), 16: (3, True), 17: (3, True), 18: (2, True), 19: (3, True), 20: (2, True), 21: (3, True), 22: (2, True), 23: (3, True), 24: (2, True)}
Errors: {}

6226709723
Result: {1: (3, False), 2: (3, True), 3: (2, True), 4: (3, True), 5: (2, True), 6: (3, True), 7: (3, True), 8: (2, True), 9: (2, True), 10: (3, True), 11: (2, True), 12: (3, True), 13: (2, True), 14: (3, True), 15: (3, True), 16: (2, True), 17: (2, True), 18: (3, True), 19: (2, True), 20: (3, True), 21: (2, True), 22: (3, True), 23: (2, True), 24: (3, True)}
Errors: {1: (3, False)}

Errors shows unexpected side assignments according to the latest captains mode rules.