This is a Longplay of the Story Mode in Mario Party 3 played on Super Hard difficulty.
Since I couldn't find any Code to unlock Super Hard difficulty for Story Mode I used a pre-existing save file.
I play through everything as perfectly as I can.
I use Luigi in this Walkthrough, because he is the only character that doesn't have a specific role in Story Mode.

Mario Party 3 (2000/2001)
Nintendo 64
Playing through Story Mode with Luigi on Super Hard Difficulty getting 13 S's and thereby achieving the "Miracle Star" Star Rank.
4:3 Aspect Ratio - Perfectly trimmed overscan area
4K (UHD) [2880p x 2160p] 60fps

Timestamps
Story Mode
0:00:10 - Intro
0:02:25 - Story Mode
0:02:47 - Intro
0:04:14 - Beginning

0:05:37 - Chilly Waters
1:02:59 - Gate Guy
1:20:35 - Deep Blooper Sea
2:20:43 - Arrowhead
2:29:04 - Spiny Desert
3:31:48 - Pipesqueak
3:44:45 - Woody Woods
4:42:02 - Blowhard
5:02:07 - Creepy Cavern
6:01:08 - Mr. Mover
6:16:36 - Backtrack
6:39:12 - Waluigi's Island

6:43:02 - Stardust Battle (The Final Battle!)

7:47:43 - Outro
7:49:24 - Results
7:49:38 - Credits
7:56:58 - Post-credits scene

Dialogue
0:04:14 - Intro
1:01:28 - Wit Star Stamp | Wario 1
1:18:23 - Wit Star Stamp 2 | Wario 2
2:19:02 - Kindness Star Stamp | Yoshi
2:26:52 - Kindness Star Stamp 2 | Yoshi 2
3:30:08 - Strength Star Stamp | DK
3:42:39 - Strength Star Stamp 2 | DK 2
4:40:21 - Love Star Stamp | Peach
4:59:59 - Love Star Stamp 2 | Peach 2
5:59:13 - Courage Star Stamp | Mario
6:13:12 - Courage Star Stamp 2 | Mario 2 | Beauty Star Stamp | Daisy
6:36:00 - Beauty Star Stamp 2 | Daisy 2 | Mischief Star Stamp | Waluigi
7:43:48 - Mischief Star Stamp 2 | Waluigi 2 | Stardust Batte
7:47:43 - Outro