[quote] Yulia is capable of synthesizing mythological metals (I.E. mithril, oricalcum, adamant(ine), thokcha, etc.); as well as other alchemical products such as Alkahest and Panacea (their actual effects fall short of the mythological all-dissolving and all-curing properties).[/quote]

What can all of these do?

[quote]Reagents and tools for alchemical crafting[/quote]

Specify what this contains.

[quote]Lion's Cradle[/quote]

How much wire does she have, not counting the replacements?

[quote]hroughout the next six years Yulia collected extensive data on the past Holy Grail Wars and the Grail War system, and through deductive reasoning understands the current state of the grail's corruption to a certain extent. Despite knowing of the Grail's flawed wish granting, Yulia has an interest in the Corrupted Grail's content: the 'mud'.[/quote]

What did she do to figure all of this out? Keep in mind that neither the Church nor the Association had substantive records on the Grail's corruption prior to the Fifth War, especially not in regards to the mud. You can change it to something more of a suspicion that there is "something wrong" with the Grail, ergo just making her knowledge on it vaguer, or if you have a way to justify her getting that kind of intel, that's fine too, but just research+deductive reasoning is too vague.