The Rugby potter has the chance to lift his second career ranking title after reaching the final in Edinburgh.
Wakelin, 33, compiled breaks of 80, 108, 52, 58, 56, 104 and 77 in his 6-4 win over Dubai-based Englishman Matthew Selt.
There is £100,000 up for grabs if he can win nine more frames at the Meadowbank Sports Centre across two sessions.
Tiredness has been a factor because little Mia — who turned one on Saturday — is teething at present while Wakelin has also had pneumonia recently.
The world No17, whose maiden ranking title came in the 2023 Shoot Out, said: “This means everything.
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“I had maybe two or three days’ practice.
“I came here with no expectations and have sort of grown through the week.
“I had pneumonia last week. It’s bacterial, don’t worry — the antibiotics are working.
“But we’ve had a really rough few weeks.
“Then the baby was teething at 2am, so we were up for like three hours.
“I know I always look tired, but I am extra tired. What a day it has been — I woke up this morning and it was the first time I’ve ever had the joy of singing happy birthday to my own daughter.
“Even though it was in the bedroom in the hotel, it’s still like a really special moment to have them here.
“It will be extra special if we can lift the trophy. We might get two rooms now as the little one is teething.”