Heh. Good odds that nobody really knows any definitive answer.
Sec. 30.06. TRESPASS BY HOLDER OF LICENSE TO CARRY CONCEALED HANDGUN. (a) A license holder commits an offense if the license holder:
(1) carries a handgun under the authority of Article 4413(29ee), Revised Statutes, on property of another without effective consent; and
(2) received notice that:
(A) entry on the property by a license holder with a concealed handgun was forbidden; or
(B) remaining on the property with a concealed handgun was forbidden and failed to depart.
(b) For purposes of this section, a person receives notice if the owner of the property or someone with apparent authority to act for the owner provides notice to the person by oral or written communication.
(c) In this section:
(1) "Entry" has the meaning assigned by Section 30.05(b).
(2) "License holder" has the meaning assigned by Section 46.035(f).
(3) "Written communication" means:
(A) a card or other document on which is written language identical to the following: "Pursuant to Section 30.06, Penal Code (trespass by holder of license to carry a concealed handgun), a person licensed under Article 4413(29ee), Revised Statutes (concealed handgun law), may not enter this property with a concealed handgun"; or
(B) a sign posted on the property that:
(i) includes the language described by Paragraph (A) in both English and Spanish;
(ii) appears in contrasting colors with block letters at least one inch in height; and
(iii) is displayed in a conspicuous manner clearly visible to the public.
(d) An offense under this section is a Class A misdemeanor.
One thing about the deal: If you enter from BPS, you have the defense that you did not pass nor see any 30.06 sign.
Considering its a misdemeanor, my guess it's not worth the effort to prosecute. On the other hand, most malls have surveilence video. If they really want to prosecute you, then they will more than likely review the video. If you walk up to a door with a sign on it, then walk around picking doors that don't have a sign on it so you can enter, I don't think the no proper notice thingy is going to wash.