Summons spend Tickets and Gems. The Egoless Banner publishes a full table: 60% Common, 35% Rare, 5% Legendary, 1% Mythical, and 0.1% Secret. Pity guarantees a Legendary at 30 summons, a Mythical at 120, and a Secret at 1,000.
What the rates point at
Rolling Twin Dragons and Demon Mountainbreaker are the 1% Egoless pulls. Egoless Technique is the 0.1% Egoless secret. On the Celestial Banner, Heaven's Burden is listed at 5% and Celestial Gatebreaker at 0.1%. The Celestial Banner does not publish the rest of its rate table.
At 0.1%, pity is the plan for the two secrets, not a backup. Daily easy and hard Ticket quests on Beginning Isle are the repeatable Ticket source. Secret fish and daily tasks pay Gems. Sanguine Fish pays 20 Gems, the largest listed fish payout. Taiji, the expired Level 500 code, paid 500 Gems when it was live. Do not count on it now.
Crystals are disputed
The banner notes say Crystals do not buy summons. They buy trait rerolls from Nanjiang at 5 Crystals each. A separate FAQ says Crystals are also spent on banners alongside Tickets. Both statements are in circulation. Spend Crystals on rerolls you can see at Nanjiang, and do not assume a Crystal balance will pull a banner until the summon screen itself accepts them.
Skins share the banners
Kraken Rod, Taiji Twin Scythe, Divine Spear Rod, Wisteria Caster, Demonic Rod, Lifebloom Rod, and Anchorbound Rod roll on these banners too. Pulls are split between skills and cosmetics. Five Kraken Rods awaken into AWK Kraken Rod. AWK Taiji Twin Scythe is the awakened form of that skin.
Shop skills from Sage Yijiu do not require a summon. Buy Taiji Quan Technique with Cash before you spend Tickets on a 2-second stun you already outgrew.