设等差数列\(\{a_{n}\}\)的前\(n\)项和是\(S_{n}\)，\(\{b_{n}\}\)是各项均为正数的等比数列，且\(a_{1}=b_{1}=1\)，\(a_{5}=3b_{2}.\)在①\(a_{3}+b_{3}=14\)，②\(a_{1}b_{5}=81\)，③\(S_{4}=4S_{2}\)这三个条件中任选一个，解下列问题：
\((Ⅰ)\)分别求出数列\(\{a_{n}\}\)和\(\{b_{n}\}\)的通项公式；
\((Ⅱ)\)若\(c_{n}=\dfrac{1}{(a_{n}+3)\log_{3}3b_{n}}\)，求数列\(\{c_{n}\}\)的前\(n\)项和\(T_{n}.\)