Damani pocketed the first frame 71-4 with small breaks against his 26-year-old opponent, ranked 72 in the world, and led 25-1 against a misfiring opponent who, then, tightened up his game to run out a 4-1 victor and enter the main draw of 64 players in the 300,000 pound sterling prize money tournament.
Baird, a semi finalist at this season's Gdynia Open won won 4-71, 57-26, 67-27, 129-1, 68-31, will meet 43-year-old compatriot Rod Lawler - ranked 35th, in round 2.
Another Indian wild card recipient, former India no. 3 Neeraj Kumar, also missed qualifying for the main draw when he was blanked 4-0 by Thailand's reigning IBSF champion Thepchaiya Un-Nooh.
Un-Nooh trounced the 32-year-old Patna-born Indian, whose best sequence was 23 in the third frame after which his 61st-ranked opponent struck a century break to take the frame for a commanding 3-0 lead.
South Eastern Railway's Kumar, who later said that he just could not adjust his play to the Star table double-shaven cloth which needed a light cue touch, lost the match in just 44 minutes - the frame scores reading 92-9, 101-15, 101-23, 77-8 in the Thai's favour.
"I had been given two half hour practice sessions before the match and I just could not get used to these tables. We are used to play with hard touch but the difference between these tables and ours is huge," said Kumar.
World no. 26 Ben Woollaston of England had to fight tooth and nail to subdue a fighting world. No. 51 Yu Delu of China 4-3 to enter round two.
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